Inverse theorem for the Szász-Durrmeyer operators

In the present paper we establish direct and inverse local properties for the Szász-Durrmeyer operators. These operators are introduced in [1] and independently considered in [4] as the generalized integral operators proposed by S.M. Mazhar and V. Totik in [2].

Bibliographic Details
Main Author: Tomasz Świderski
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2009-08-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/914
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author Tomasz Świderski
author_facet Tomasz Świderski
author_sort Tomasz Świderski
collection DOAJ
description In the present paper we establish direct and inverse local properties for the Szász-Durrmeyer operators. These operators are introduced in [1] and independently considered in [4] as the generalized integral operators proposed by S.M. Mazhar and V. Totik in [2].
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spelling doaj.art-44b48011ddef4c2bae3f4e0b1f56116e2022-12-22T01:24:59ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2009-08-01382Inverse theorem for the Szász-Durrmeyer operatorsTomasz Świderski0Pedagogical University, KrakowIn the present paper we establish direct and inverse local properties for the Szász-Durrmeyer operators. These operators are introduced in [1] and independently considered in [4] as the generalized integral operators proposed by S.M. Mazhar and V. Totik in [2].https://www.ictp.acad.ro/jnaat/journal/article/view/914Modified Szász-Mirakyan operatorBaskakov-Durremeyer operator
spellingShingle Tomasz Świderski
Inverse theorem for the Szász-Durrmeyer operators
Journal of Numerical Analysis and Approximation Theory
Modified Szász-Mirakyan operator
Baskakov-Durremeyer operator
title Inverse theorem for the Szász-Durrmeyer operators
title_full Inverse theorem for the Szász-Durrmeyer operators
title_fullStr Inverse theorem for the Szász-Durrmeyer operators
title_full_unstemmed Inverse theorem for the Szász-Durrmeyer operators
title_short Inverse theorem for the Szász-Durrmeyer operators
title_sort inverse theorem for the szasz durrmeyer operators
topic Modified Szász-Mirakyan operator
Baskakov-Durremeyer operator
url https://www.ictp.acad.ro/jnaat/journal/article/view/914
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